The height of a cylinder is equal to its radius. If the volume is 0.216 \(\pi\) m\(^3\). Calculate the radius.
Question 1 Report
The height of a cylinder is equal to its radius. If the volume is 0.216 \(\pi\) m\(^3\). Calculate the radius.
Answer Details
Let's denote the radius of the cylinder as r and its height as h. We are given that the height of the cylinder is equal to its radius, so h = r. We also know the volume of the cylinder, which is given by:
V = \(\pi\)r\(^2\)h
Substituting h = r, we get:
V = \(\pi\)r\(^2\)r = \(\pi\)r\(^3\)
We are given that the volume of the cylinder is 0.216 \(\pi\) m\(^3\). So, we can solve for r as follows:
0.216 \(\pi\) = \(\pi\)r\(^3\)
r\(^3\) = 0.216
Taking the cube root of both sides, we get:
r = 0.6
Therefore, the radius of the cylinder is 0.6 meters. So, the answer is 0.60m.
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